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arXiv · 1812.10739

Rare fluctuations of the $S$-matrix at NLO in QCD

Wenchang Xiang·Yanbing Cai·Mengliang Wang·Daicui Zhou
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Abstract

We calculate the rare fluctuations of the $S$-matrix on top of the full next-to-leading order corrections in the center of mass frame. The relevant result in the saturation regime shows that the exponential factor of the $S$-matrix is $\sqrt{2}$ as large as the result which emerges when the rare fluctuation effects are taken into account. We find that the factor of $\sqrt{2}$ change of the exponential factor is induced by the gluon loop corrections which compensate part of rapidity decrease of the $S$-matrix made by quark loops and lead to the rare fluctuations becoming important again. To ensure the relevant results of the $S$-matrix are independent of the frame choice, the rare fluctuations of the $S$-matrix are also derived in a general frame. It is found that all the results are consistent with each other in both frames.

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Wenchang Xiang, Yanbing Cai, Mengliang Wang, Daicui Zhou. 2018-12-27. Rare fluctuations of the $S$-matrix at NLO in QCD. https://doi.org/10.1103/physrevd.99.096026

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